System of Equations

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (X,Y).

Front

What does the graph of y > -2x - 3 look like?

Back

The graph of y > -2x - 3 is a shaded region above the line y = -2x - 3, which is dashed to indicate that points on the line are not included.

Front

What does it mean if a system of linear equations has one solution?

Back

It means that the two lines represented by the equations intersect at exactly one point.

Front

How do you solve a system of equations by elimination?

Back

To solve by elimination, you manipulate the equations to eliminate one variable, allowing you to solve for the other variable.

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of two parallel lines that never intersect.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.